Question

Rút gọn

\(\sqrt{10+2\sqrt{6}+2\sqrt{10}+2\sqrt{15}}\)

Answer 1

\(\sqrt{1+2007^2+\dfrac{2007^2}{2008^2}}+\dfrac{2007}{2008}\)

Answer 2

\(\sqrt{2x-3}-\sqrt{x-1}=0\)

Answer 3

Ta có: \(\sqrt{10+2\sqrt{6}+2\sqrt{10}+2\sqrt{15}}\)

= \(\sqrt{2+3+5+2\sqrt{2}.\sqrt{3}+2\sqrt{2}.\sqrt{5}+2.\sqrt{3}.\sqrt{5}}\)

= \(\sqrt{\left(\sqrt{2}+\sqrt{3}+\sqrt{5}\right)^2}\) = \(\sqrt{2}+\sqrt{3}+\sqrt{5}\)